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Finding the Fourth Proportional to 16,457.32, 22,712.32 and 9,383.92

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Solution

The fourth proportional to 16,457.32, 22,712.32 and 9,383.92 is: 12,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457.32 : 22,712.32 = 9,383.92 : x
  2. Step 2: Convert to fraction form
    16,457.32/22,712.32 = 9,383.92/x
  3. Step 3: Cross multiply
    16,457.32x = 22,712.32 × 9,383.92
  4. Step 4: Simplify right side
    16,457.32x = 213,130,593.89
  5. Step 5: Solve for x
    x = 213,130,593.89/16,457.32
  6. Step 6: Final answer
    x = 12,950.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.